System.Random.MWC.Distributions:truncatedExp from mwc-random-0.13.3.2

Time bar (total: 15.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze670.0ms (4.5%)

Memory
-2.7MiB live, 458.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
3.1%3.1%96.7%0.2%0%0%0%8
4.7%4.7%95.1%0.2%0%0%0%9
4.7%4.7%95.1%0.2%0%0%0%10
16.4%16.4%83.4%0.2%0%0%0%11
18.8%17.5%76%0.2%0%6.2%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample6.3s (41.8%)

Memory
75.3MiB live, 5 183.9MiB allocated
Samples
2.5s4 541×1valid
915.0ms1 206×5exit
568.0ms1 802×0invalid
509.0ms3 715×0valid
319.0ms357×4exit
211.0ms625×1invalid
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-log: 1.4s (34.7% of total)
ival-exp: 1.0s (25.9% of total)
adjust: 557.0ms (13.7% of total)
ival-sub: 402.0ms (9.9% of total)
ival-div: 333.0ms (8.2% of total)
ival-mult: 145.0ms (3.6% of total)
ival-add: 141.0ms (3.5% of total)
ival-true: 10.0ms (0.2% of total)
exact: 8.0ms (0.2% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain327.0ms (2.2%)

Memory
23.7MiB live, 459.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15050(-7.610682475690592e-202 -2.909136518088335e-176 -1.0027394542450917e-272 8.623729494273197e-285)1(2.112451830257177e+204 -0.01153972157631029 -7.127862522585955e+281 -3.7321343236514076e-91)(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
702(-4.413580412781706e-178 1275684.2712603733 3.8387128502721974e-185 1.983624033317717e+27)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
180-2(-1.2016385590309333e-127 7.048309754841747e-25 1.0718526006168284e-296 -1.3538030894530672e-170)(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
00-0-t
00-0-#s(literal 1 binary64)
00-0-z
00-0-y
00-0-(*.f64 y (exp.f64 z))
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))sensitivity1981
+.f64(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))cancellation320
/.f64(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)u/n50
↳(exp.f64 z)underflow74
↳(*.f64 y (exp.f64 z))underflow74
↳(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))underflow50
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))oflow-rescue10
↳(exp.f64 z)overflow1
↳(*.f64 y (exp.f64 z))overflow1
↳(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))overflow1
Confusion
Predicted +Predicted -
+8716
-12726
Precision
0.40654205607476634
Recall
0.8446601941747572
Confusion?
Predicted +Predicted MaybePredicted -
+87016
-127125
Precision?
0.4046511627906977
Recall?
0.8446601941747572
Freqs
test
numberfreq
042
1192
222
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
137.0ms320×1valid
66.0ms126×2valid
7.0ms66×0valid
Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-log: 66.0ms (38.9% of total)
ival-exp: 58.0ms (34.2% of total)
adjust: 15.0ms (8.8% of total)
ival-sub: 11.0ms (6.5% of total)
ival-div: 8.0ms (4.7% of total)
ival-mult: 6.0ms (3.5% of total)
ival-add: 5.0ms (2.9% of total)
ival-true: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess224.0ms (1.5%)

Memory
-40.7MiB live, 111.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067194
1137194
2356192
31190190
44104190
01213
01913
13113
26313
318313
454413
5323413
6796013
0805811
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.4%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify167.0ms (1.1%)

Memory
22.0MiB live, 110.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
cost-diff1
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
cost-diff1
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
01955
13155
26355
318355
454455
5323455
6796055
0805848
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(exp.f64 z)
z
t
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
t

localize450.0ms (3%)

Memory
1.2MiB live, 147.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 y (exp.f64 z))
accuracy3.963670698310992
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy16.86236952387358
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy32.580943090473234
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
224.0ms63×2valid
213.0ms160×1valid
3.0ms33×0valid
Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 401.0ms
ival-log: 237.0ms (59.1% of total)
ival-div: 128.0ms (31.9% of total)
ival-exp: 17.0ms (4.2% of total)
adjust: 7.0ms (1.7% of total)
ival-sub: 6.0ms (1.5% of total)
ival-mult: 3.0ms (0.7% of total)
ival-add: 3.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series133.0ms (0.9%)

Memory
-29.4MiB live, 112.8MiB allocated
Counts
5 → 69
Calls
Call 1
Inputs
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(*.f64 y (exp.f64 z))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (exp z))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
45.0ms
z
@inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
23.0ms
z
@-inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
19.0ms
t
@0
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
15.0ms
t
@inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
9.0ms
t
@-inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify173.0ms (1.2%)

Memory
20.9MiB live, 298.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351597
110791468
240581425
091541220
Stop Event
1×iter limit
1×node limit
Counts
69 → 67
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (exp z))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
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Outputs
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(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) t) z) (/.f64 y t)) z x)
(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) t) z)
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) t) z (/.f64 y t)) z)
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y)
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(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z y)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(- (+ 1 (* y (exp z))) y)
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))

rewrite268.0ms (1.8%)

Memory
30.0MiB live, 269.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01945
17245
252845
3719545
0815541
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 188
Calls
Call 1
Inputs
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(*.f64 y (exp.f64 z))
Outputs
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x))))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)))
(/.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))) (neg.f64 t))
(/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t)
(neg.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) (neg.f64 t)))
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t))
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64))
(*.f64 (exp.f64 z) y)
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z)))
(*.f64 y (exp.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) y) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y)) (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y))) (-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y) (-.f64 (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y)) (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)))))
(/.f64 y (exp.f64 (neg.f64 z)))
(neg.f64 (*.f64 (neg.f64 y) (exp.f64 z)))
(fma.f64 (*.f64 (sinh.f64 z) #s(literal 1 binary64)) y (*.f64 (cosh.f64 z) y))
(fma.f64 (*.f64 (cosh.f64 z) #s(literal 1 binary64)) y (*.f64 (sinh.f64 z) y))
(fma.f64 (*.f64 (sinh.f64 z) y) #s(literal 1 binary64) (*.f64 (cosh.f64 z) y))
(fma.f64 (*.f64 (cosh.f64 z) y) #s(literal 1 binary64) (*.f64 (sinh.f64 z) y))
(fma.f64 (sinh.f64 z) y (*.f64 (cosh.f64 z) y))
(fma.f64 (cosh.f64 z) y (*.f64 (sinh.f64 z) y))
(fma.f64 y (*.f64 #s(literal 1 binary64) (sinh.f64 z)) (*.f64 (cosh.f64 z) y))
(fma.f64 y (*.f64 #s(literal 1 binary64) (cosh.f64 z)) (*.f64 (sinh.f64 z) y))
(fma.f64 y (sinh.f64 z) (*.f64 (cosh.f64 z) y))
(fma.f64 y (cosh.f64 z) (*.f64 (sinh.f64 z) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 (neg.f64 z)) y))
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (neg.f64 y) (sinh.f64 z)))
(+.f64 (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y))
(+.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))

eval44.0ms (0.3%)

Memory
-32.4MiB live, 60.7MiB allocated
Compiler

Compiled 10 145 to 1 411 computations (86.1% saved)

prune13.0ms (0.1%)

Memory
28.0MiB live, 28.0MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New23915254
Fresh000
Picked101
Done000
Total24015255
Accuracy
100.0%
Counts
255 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
83.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
73.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
71.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
14.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
▶53.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
82.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) y)) t))
▶84.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
▶75.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶82.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
57.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
83.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)))
▶86.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
14.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
78.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
Compiler

Compiled 696 to 548 computations (21.3% saved)

simplify231.0ms (1.5%)

Memory
-25.2MiB live, 309.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
cost-diff1
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
cost-diff2
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
cost-diff0
(*.f64 (expm1.f64 z) y)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
cost-diff0
(/.f64 (expm1.f64 z) t)
cost-diff0
(*.f64 (/.f64 (expm1.f64 z) t) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050484
085484
1141456
2372456
31662456
46781456
08067435
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) z)
#s(literal 1/6 binary64)
z
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 2 binary64)
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 y y (neg.f64 y))
(neg.f64 y)
#s(literal -1/2 binary64)
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
y
t
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))) y y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))) y y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))) y y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))) y y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))) y y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))) y y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))
(*.f64 #s(literal 1/6 binary64) z)
#s(literal 1/6 binary64)
z
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
(fma.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))) y y)
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 2 binary64)
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 y y (neg.f64 y))
(neg.f64 y)
#s(literal -1/2 binary64)
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
y
t

localize418.0ms (2.8%)

Memory
-7.4MiB live, 236.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (exp.f64 z) y)
accuracy0.26158388554680534
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
accuracy3.963670698310992
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
accuracy29.502607766980727
(-.f64 (*.f64 (exp.f64 z) y) y)
accuracy3.963670698310992
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t)
accuracy4.844845093789961
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y)
accuracy10.538230640164109
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
accuracy25.89925635567151
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
accuracy0.00390625
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy0.00390625
(*.f64 (expm1.f64 z) y)
accuracy3.963670698310992
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy14.539882998416562
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy0.0
(*.f64 z y)
accuracy0.00390625
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy3.963670698310992
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy26.26958991955069
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy0.00390625
(/.f64 (expm1.f64 z) t)
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy3.762314669131049
(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy14.111887054092234
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
Samples
190.0ms160×1valid
158.0ms63×2valid
10.0ms33×0valid
Compiler

Compiled 368 to 43 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-sub: 99.0ms (32.7% of total)
const: 39.0ms (12.9% of total)
ival-log: 33.0ms (10.9% of total)
ival-mult: 29.0ms (9.6% of total)
ival-expm1: 29.0ms (9.6% of total)
ival-exp: 22.0ms (7.3% of total)
adjust: 21.0ms (6.9% of total)
ival-add: 12.0ms (4% of total)
ival-div: 6.0ms (2% of total)
ival-pow: 6.0ms (2% of total)
ival-log1p: 4.0ms (1.3% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series143.0ms (1%)

Memory
29.7MiB live, 129.8MiB allocated
Counts
25 → 111
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y)
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y z)
y
(* y (+ 1 (* -3 y)))
(* y (+ 1 (* y (- (* 2 y) 3))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* y (+ 1/2 (* 1/6 z)))
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2)))))
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2)))))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(* y (exp z))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* 2 (pow y 3))
(* (pow y 3) (- 2 (* 3 (/ 1 y))))
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* 1/3 (* (pow y 3) z))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (* 1/3 z)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (* 1/6 (/ z (pow y 2))) (+ (* 1/3 z) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))
(* 1/3 (* (pow y 3) (pow z 2)))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 z) 1/2) y)) (* -1/3 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 z) 1/2) y)) (* -1/2 z)) 1/2) y)) (* -1/3 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(/ z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(* -1/2 (- (pow y 2) y))
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(+ y (* -1/2 (* z (- (pow y 2) y))))
(+ y (* z (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* z (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* 1/6 (* (pow z 2) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (+ (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (/ y (pow z 2)))))
(- (* y (exp z)) y)
(* -1 (* z (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (- (pow y 2) y) z)))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* 1/2 (- (pow y 2) y))) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
46.0ms
y
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (* (+ (* y y) (neg y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (- (* (exp z) y) y))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (- (* (exp z) y) y) (* (exp z) y))
38.0ms
t
@0
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (* (+ (* y y) (neg y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (- (* (exp z) y) y))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (- (* (exp z) y) y) (* (exp z) y))
11.0ms
t
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (* (+ (* y y) (neg y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (- (* (exp z) y) y))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (- (* (exp z) y) y) (* (exp z) y))
10.0ms
t
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (* (+ (* y y) (neg y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (- (* (exp z) y) y))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (- (* (exp z) y) y) (* (exp z) y))
10.0ms
z
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (* (+ (* y y) (neg y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (- (* (exp z) y) y))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (- (* (exp z) y) y) (* (exp z) y))

simplify234.0ms (1.6%)

Memory
1.0MiB live, 129.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05242373
117742215
268682169
091701882
Stop Event
1×iter limit
1×node limit
Counts
111 → 109
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y z)
y
(* y (+ 1 (* -3 y)))
(* y (+ 1 (* y (- (* 2 y) 3))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* y (+ 1/2 (* 1/6 z)))
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2)))))
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2)))))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(* y (exp z))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* 2 (pow y 3))
(* (pow y 3) (- 2 (* 3 (/ 1 y))))
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* 1/3 (* (pow y 3) z))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (* 1/3 z)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (* 1/6 (/ z (pow y 2))) (+ (* 1/3 z) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))
(* 1/3 (* (pow y 3) (pow z 2)))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 z) 1/2) y)) (* -1/3 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 z) 1/2) y)) (* -1/2 z)) 1/2) y)) (* -1/3 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(/ z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(* -1/2 (- (pow y 2) y))
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(+ y (* -1/2 (* z (- (pow y 2) y))))
(+ y (* z (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* z (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* 1/6 (* (pow z 2) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (+ (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (/ y (pow z 2)))))
(- (* y (exp z)) y)
(* -1 (* z (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (- (pow y 2) y) z)))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* 1/2 (- (pow y 2) y))) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal -1/3 binary64))) t) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x)
(/ (* y (- (exp z) 1)) t)
(/.f64 (*.f64 (expm1.f64 z) y) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) t) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) t) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) t) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
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(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) z) #s(literal 1/24 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) t) z (/.f64 y t)) z)
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) t) z)
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) t) z (/.f64 y t)) z)
(/ z t)
(/.f64 z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) z (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) t) z (/.f64 #s(literal 1 binary64) t)) z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) z) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) z) #s(literal 1/24 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z)
(* z (+ y (* 1/2 (* y z))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z)
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(* -1/2 (- (pow y 2) y))
(*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(fma.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) z) #s(literal 1/6 binary64)))
(+ y (* -1/2 (* z (- (pow y 2) y))))
(fma.f64 (*.f64 (-.f64 (*.f64 y y) y) z) #s(literal -1/2 binary64) y)
(+ y (* z (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) z) #s(literal 1/6 binary64))) z y)
(+ y (* y z))
(fma.f64 z y y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z y)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)
(/ (- (exp z) 1) t)
(/.f64 (expm1.f64 z) t)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) z) #s(literal 1/6 binary64))
(* z (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) z) #s(literal -1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) z)
(* 1/6 (* (pow z 2) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) z) z) #s(literal 1/6 binary64))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) z) #s(literal -1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) z) z)
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (+ (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (/ y (pow z 2)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64) (/.f64 y z)) z)) (*.f64 z z))
(- (* y (exp z)) y)
(-.f64 (*.f64 (exp.f64 z) y) y)
(* -1 (* z (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (- (pow y 2) y) z)))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) z) #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal -1/6 binary64))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* 1/2 (- (pow y 2) y))) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 z))) z) z)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))

rewrite255.0ms (1.7%)

Memory
23.4MiB live, 211.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050404
085404
1327376
22602376
08941370
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 376
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y)
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))
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(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 z)) y)) (neg.f64 (neg.f64 t)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
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(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z) y)
(+.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z))
(*.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (exp.f64 z) y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) y y)) (*.f64 (fma.f64 (exp.f64 z) y y) (*.f64 y y))) (pow.f64 (fma.f64 (exp.f64 z) y y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (exp.f64 z) y y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (exp.f64 z) y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (exp.f64 z) y y))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) y y)) (/.f64 (*.f64 y y) (fma.f64 (exp.f64 z) y y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
(*.f64 y (exp.f64 z))
(fma.f64 (cosh.f64 z) y (*.f64 (sinh.f64 z) y))
(fma.f64 y (cosh.f64 z) (*.f64 y (sinh.f64 z)))
(+.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))
(+.f64 (*.f64 y (cosh.f64 z)) (*.f64 y (sinh.f64 z)))

eval146.0ms (1%)

Memory
-23.2MiB live, 130.6MiB allocated
Compiler

Compiled 27 771 to 3 168 computations (88.6% saved)

prune49.0ms (0.3%)

Memory
1.0MiB live, 47.8MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New4739482
Fresh2810
Picked145
Done000
Total47621497
Accuracy
100.0%
Counts
497 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.3%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
▶83.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
73.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
71.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
14.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
56.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
82.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) y)) t))
26.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
56.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
✓84.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
66.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
▶63.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
✓75.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
✓82.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
83.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)))
62.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)))
✓86.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶76.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
68.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
▶78.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
14.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
Compiler

Compiled 1 154 to 866 computations (25% saved)

simplify203.0ms (1.4%)

Memory
1.4MiB live, 193.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
cost-diff2
(-.f64 (*.f64 (exp.f64 z) y) y)
cost-diff3
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x)
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
cost-diff2
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
cost-diff0
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074693
0114693
1196681
2534671
32182616
46783616
08182575
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(expm1.f64 z)
z
y
#s(literal 1 binary64)
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 z t)
z
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z))
(*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z)
(-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
#s(literal 1/2 binary64)
y
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x)
(neg.f64 x)
x
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
y
(*.f64 t x)
t
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(expm1.f64 z)
z
y
#s(literal 1 binary64)
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 z t)
z
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64)) y)) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64)) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64)) y)) z))
(*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)
(*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64)) y)) z)
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y))
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64)) y)
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z)
(-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
#s(literal 1/2 binary64)
y
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(neg.f64 x)
x
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
y
(*.f64 t x)
t

localize498.0ms (3.3%)

Memory
3.6MiB live, 478.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26158388554680534
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
accuracy2.848285244877589
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x)
accuracy6.904110954286919
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
accuracy29.502607766980727
(-.f64 (*.f64 (exp.f64 z) y) y)
accuracy0.02734375
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
accuracy3.963670698310992
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
accuracy16.492393710078144
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
accuracy32.580943090473234
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
accuracy3.6045466314754964
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
accuracy3.963670698310992
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t)
accuracy8.56953704621195
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y))
accuracy25.89925635567151
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z))
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
accuracy3.762314669131049
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
accuracy14.111887054092234
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
accuracy18.08537233862471
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy0.0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
accuracy0.00390625
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
accuracy3.963670698310992
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
accuracy32.580943090473234
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
Samples
276.0ms160×1valid
88.0ms63×2valid
34.0ms33×0valid
Compiler

Compiled 419 to 64 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 307.0ms
ival-mult: 87.0ms (28.3% of total)
adjust: 81.0ms (26.4% of total)
ival-log: 34.0ms (11.1% of total)
ival-exp: 33.0ms (10.7% of total)
ival-add: 23.0ms (7.5% of total)
ival-div: 11.0ms (3.6% of total)
ival-neg: 10.0ms (3.3% of total)
ival-sub: 9.0ms (2.9% of total)
ival-pow: 6.0ms (2% of total)
const: 5.0ms (1.6% of total)
ival-log1p: 5.0ms (1.6% of total)
ival-expm1: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series164.0ms (1.1%)

Memory
-0.5MiB live, 190.3MiB allocated
Counts
25 → 153
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x)
(-.f64 (*.f64 (exp.f64 z) y) y)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
(neg.f64 x)
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 x)
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
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1
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y
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
Calls

12 calls:

TimeVariablePointExpression
36.0ms
x
@inf
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25.0ms
t
@-inf
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21.0ms
z
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (neg x) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x))) x) (- (* (exp z) y) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (+ (* (+ (* (* z y) 1/2) y) z) 1) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y))))
17.0ms
y
@0
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11.0ms
z
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (neg x) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x))) x) (- (* (exp z) y) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (+ (* (+ (* (* z y) 1/2) y) z) 1) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y))))

simplify602.0ms (4%)

Memory
-50.8MiB live, 380.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07023609
124723334
089552912
Stop Event
1×iter limit
1×node limit
Counts
153 → 151
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64) (/.f64 y (*.f64 z z)))) (*.f64 z z))
(* y (* (pow z 2) (+ 1/6 (* -1/2 y))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z) y)
(* (pow z 2) (+ (* y (+ 1/6 (* -1/2 y))) (/ (* y (+ 1/2 (* -1/2 y))) z)))
(*.f64 (*.f64 (*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z)) #s(literal 1/6 binary64))) z) z)
(* (pow z 2) (+ (* y (+ 1/6 (* -1/2 y))) (+ (/ y (pow z 2)) (/ (* y (+ 1/2 (* -1/2 y))) z))))
(*.f64 (*.f64 (fma.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z)) #s(literal 1/6 binary64)) (/.f64 y (*.f64 z z))) z) z)
(* 1/2 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 y z)) (*.f64 z z))
(* (pow z 2) (+ 1/6 (+ (* -1 (/ (- (* 1/2 y) 1/2) z)) (* -1/2 y))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) z) z)
(* (pow z 2) (+ 1/6 (+ (* -1 (/ (- (* 1/2 y) (+ 1/2 (/ 1 z))) z)) (* -1/2 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* 1/2 (- (pow y 2) y))) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 z))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) z)) (* y (+ 1/6 (* -1/2 y)))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* y (- (* 1/2 y) 1/2))) z)) (* y (+ 1/6 (* -1/2 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 y) z)) (neg.f64 z))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (*.f64 z z))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/.f64 (fma.f64 t x (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))) t)

rewrite242.0ms (1.6%)

Memory
34.0MiB live, 257.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074561
0114561
1471549
23881545
08324517
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 179
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x)
(-.f64 (*.f64 (exp.f64 z) y) y)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
(neg.f64 x)
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
Outputs
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) (neg.f64 t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(neg.f64 (/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) t))
(neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) (neg.f64 t)))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x)) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (*.f64 x x))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) #s(literal 1 binary64)))))
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(fma.f64 y (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y) (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))))
(fma.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y) y)
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y) y))
(+.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y))) y)
(+.f64 (*.f64 y (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))))
(+.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) (*.f64 y (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))
(fma.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 z (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) z))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))
(/.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) t)
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))) (neg.f64 (*.f64 (neg.f64 x) t)))
(/.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) (neg.f64 x))
(/.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) (*.f64 (neg.f64 x) t))
(/.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) x)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) (*.f64 t x)))
(neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 (neg.f64 x) t)))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y y))) (log.f64 (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (log1p.f64 (-.f64 y (*.f64 (exp.f64 z) y))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) y))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 z) y) y) (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) (neg.f64 y)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y)))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) y) (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (log.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
(log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))

eval138.0ms (0.9%)

Memory
-16.3MiB live, 121.5MiB allocated
Compiler

Compiled 17 823 to 1 977 computations (88.9% saved)

prune37.0ms (0.2%)

Memory
-5.0MiB live, 41.8MiB allocated
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New3169325
Fresh4812
Picked235
Done044
Total32224346
Accuracy
100.0%
Counts
346 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓83.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
▶73.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
24.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
71.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
82.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 z)) y)) t))
▶26.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
56.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
64.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
✓84.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
66.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
▶56.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
55.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y)) z)) t))
✓75.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
✓82.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
62.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)))
✓86.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
✓76.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
▶68.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
69.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) x))
✓78.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
66.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x))
74.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
▶84.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
14.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
Compiler

Compiled 1 478 to 1 061 computations (28.2% saved)

simplify189.0ms (1.3%)

Memory
19.2MiB live, 198.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
cost-diff2
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y))
cost-diff4
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
cost-diff0
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
cost-diff0
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
cost-diff0
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x)
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941008
0138983
1265983
2838964
34167964
08305867
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x)
(neg.f64 x)
x
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x))
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)
(*.f64 y (/.f64 (expm1.f64 z) t))
y
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z))
(*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y))
(*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)
#s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/6 binary64)
z
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z))
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z))
(sqrt.f64 y)
y
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y)))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)
#s(literal 2 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
z
(*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))
#s(literal -1/2 binary64)
(fma.f64 y y y)
t
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x) x))
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x)
(fma.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x) x)
(neg.f64 x)
x
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x))
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)
(/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 (expm1.f64 z) t) y)
y
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z))
(*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y))
(*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)
#s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/6 binary64)
z
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z y) z))
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z y) z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z y)
(sqrt.f64 y)
y
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y)))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)
#s(literal 2 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
z
(*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))
(*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 y y y)
t

localize392.0ms (2.6%)

Memory
4.0MiB live, 489.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.0848945951958826
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t)
accuracy2.4241805287924785
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)
accuracy4.7340037914841755
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y)))
accuracy12.020966052215648
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z))
accuracy0.00390625
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
accuracy2.0848945951958826
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
accuracy4.475566177281495
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy16.7509573390771
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy2.154080431090186
(*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)
accuracy4.6306967093664815
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y))
accuracy11.666579971217706
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z))
accuracy20.91737532592553
#s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z))
accuracy0.0625
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
accuracy2.4313425861979647
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
accuracy5.072962014733875
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
accuracy7.564434727040504
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
accuracy0.9607341313666498
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x)
accuracy1.9996271536990855
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)
accuracy2.4313425861979647
(*.f64 y (/.f64 (expm1.f64 z) t))
accuracy4.7850305185202275
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x))
Samples
101.0ms80×1valid
98.0ms140×0invalid
52.0ms30×2valid
3.0ms6×0valid
Compiler

Compiled 575 to 81 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-mult: 62.0ms (31.8% of total)
ival-add: 33.0ms (16.9% of total)
adjust: 21.0ms (10.8% of total)
ival-exp: 19.0ms (9.8% of total)
ival-log: 19.0ms (9.8% of total)
ival-sub: 11.0ms (5.6% of total)
ival-div: 10.0ms (5.1% of total)
const: 5.0ms (2.6% of total)
ival-pow: 5.0ms (2.6% of total)
ival-log1p: 3.0ms (1.5% of total)
ival-sqrt: 2.0ms (1% of total)
ival-expm1: 2.0ms (1% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series180.0ms (1.2%)

Memory
1.1MiB live, 195.8MiB allocated
Counts
29 → 198
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x)
(neg.f64 x)
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z))
(*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
#s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z))
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y))
(*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 x)
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
(/ (* y (- (exp z) 1)) (* t x))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(* y (+ (* y (* (pow z 2) (- (* -1/2 z) 1/2))) (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(* y (+ (* y (+ (* 1/3 (* y (pow z 3))) (* (pow z 2) (- (* -1/2 z) 1/2)))) (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
1
(+ 1 (* y (- (exp z) 1)))
(* y (+ 1 (* z (- (* 1/6 z) 1/2))))
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (- (* 1/6 z) 1/2)))))
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (- (* 1/6 z) 1/2)))))
y
(* y (+ 1 (* -3 y)))
(* y (+ 1 (* y (- (* 2 y) 3))))
(+ 1 (* z (+ 1/2 (* 1/6 z))))
(+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(* y (- (* 1/6 z) 1/2))
(* y (- (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2))) 1/2))
(* y (- (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2))) 1/2))
(* y (* z (- (* 1/6 z) 1/2)))
(* y (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (- (* 1/6 z) 1/2))))
(* y (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (- (* 1/6 z) 1/2))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
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(/ (* z (+ 1 (* 1/2 z))) t)
Calls

12 calls:

TimeVariablePointExpression
52.0ms
z
@-inf
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31.0ms
t
@inf
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20.0ms
x
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x))) x) (neg x) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (sqrt y) (sqrt y)) (* (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) z)) (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ (- (exp z) 1) t)) (/ (* y (/ (- (exp z) 1) t)) x) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (* (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) z))
12.0ms
t
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x))) x) (neg x) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (sqrt y) (sqrt y)) (* (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) z)) (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ (- (exp z) 1) t)) (/ (* y (/ (- (exp z) 1) t)) x) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (* (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) z))
11.0ms
z
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x))) x) (neg x) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (sqrt y) (sqrt y)) (* (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) z)) (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ (- (exp z) 1) t)) (/ (* y (/ (- (exp z) 1) t)) x) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (* (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) z))

simplify256.0ms (1.7%)

Memory
9.3MiB live, 196.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08814697
131554399
081443881
Stop Event
1×iter limit
1×node limit
Counts
198 → 196
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
(/ (* y (- (exp z) 1)) (* t x))
x
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1
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y
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(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* z (+ y (* -1/2 (* z (- (pow y 2) y)))))
(* z (+ y (* z (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(+ y (* -1/2 (* z (+ y (pow y 2)))))
(+ y (* z (+ (* -1/2 (+ y (pow y 2))) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))
(* z (+ (* 1/2 (/ (* y z) (* t x))) (/ y (* t x))))
(* z (+ (* z (+ (* 1/6 (/ (* y z) (* t x))) (* 1/2 (/ y (* t x))))) (/ y (* t x))))
(* z (+ (* z (+ (* 1/2 (/ y (* t x))) (* z (+ (* 1/24 (/ (* y z) (* t x))) (* 1/6 (/ y (* t x))))))) (/ y (* t x))))
(+ 1 (* z (+ 1/2 (* -1/2 y))))
(+ 1 (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (* -1/2 y)))))))
(+ y (* -1/2 (* z (- (pow y 2) y))))
(+ y (* z (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))
(+ y (* y (* z (+ 1/2 (* -1/2 y)))))
(+ y (* z (+ (* y (* z (+ 1/6 (* -1/2 y)))) (* y (+ 1/2 (* -1/2 y))))))
(* -1/2 (+ y (pow y 2)))
(+ (* -1/2 (+ y (pow y 2))) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* -1/2 (* z (+ y (pow y 2))))
(* z (+ (* -1/2 (+ y (pow y 2))) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(* 1/6 (* (pow z 3) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* (pow z 3) (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* (pow z 3) (+ (* -1/2 (/ (- (pow y 2) y) z)) (+ (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (/ y (pow z 2)))))
(- (+ 1 (* y (exp z))) y)
(* 1/6 (* (pow z 2) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* (pow z 2) (+ (* -1/2 (/ (+ y (pow y 2)) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* (pow z 2) (+ (* -1/2 (/ (+ y (pow y 2)) z)) (+ (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (/ y (pow z 2)))))
(* 1/2 (/ (pow z 2) t))
(* (pow z 2) (+ (* 1/2 (/ 1 t)) (/ 1 (* t z))))
(* (pow z 2) (+ 1/6 (* -1/2 y)))
(* (pow z 2) (+ 1/6 (+ (* -1/2 y) (+ (* -1/2 (/ y z)) (* 1/2 (/ 1 z))))))
(* (pow z 2) (+ 1/6 (+ (* -1/2 y) (+ (* -1/2 (/ y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (+ (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (/ y (pow z 2)))))
(* y (* (pow z 2) (+ 1/6 (* -1/2 y))))
(* (pow z 2) (+ (* y (+ 1/6 (* -1/2 y))) (/ (* y (+ 1/2 (* -1/2 y))) z)))
(* (pow z 2) (+ (* y (+ 1/6 (* -1/2 y))) (+ (/ y (pow z 2)) (/ (* y (+ 1/2 (* -1/2 y))) z))))
(* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* z (+ (* -1/2 (/ (+ y (pow y 2)) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* -1 (* (pow z 3) (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (- (pow y 2) y) z)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y z)) z)) (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* 1/2 (+ y (pow y 2)))) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* (pow z 2) (+ 1/6 (+ (* -1 (/ (- (* 1/2 y) 1/2) z)) (* -1/2 y))))
(* (pow z 2) (+ 1/6 (+ (* -1 (/ (- (* 1/2 y) (+ 1/2 (/ 1 z))) z)) (* -1/2 y))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* 1/2 (- (pow y 2) y))) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(* (pow z 2) (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) z)) (* y (+ 1/6 (* -1/2 y)))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* y (- (* 1/2 y) 1/2))) z)) (* y (+ 1/6 (* -1/2 y)))))
(* -1 (* z (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (+ y (pow y 2)) z)))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (* z (+ 1 (* 1/2 z))) t)
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
(* -1 x)
(neg.f64 x)
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(/ (* y (- (exp z) 1)) (* t x))
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 (neg.f64 t) x)) x x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal 1 binary64)) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y))) t) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x)
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (neg.f64 (expm1.f64 z))) t) y x)
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y))) t) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) t) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) x) (/.f64 (expm1.f64 z) (*.f64 t x))) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 t x)) y (/.f64 (expm1.f64 z) (*.f64 t x))) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) (*.f64 t x)) y (*.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) (*.f64 t x))) y)
(/ (* y (- (exp z) 1)) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 z)) t) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) t) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y)
(* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)
(* y (+ (* y (* (pow z 2) (- (* -1/2 z) 1/2))) (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 z z) y) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)
(* y (+ (* y (+ (* 1/3 (* y (pow z 3))) (* (pow z 2) (- (* -1/2 z) 1/2)))) (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 z #s(literal 3 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* y (+ 1 (* z (- (* 1/6 z) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (- (* 1/6 z) 1/2)))))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (- (* 1/6 z) 1/2)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z)) y (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
y
(* y (+ 1 (* -3 y)))
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 2 y) 3))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y #s(literal 1 binary64)) y)
(+ 1 (* z (+ 1/2 (* 1/6 z))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))
(+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
(* y (- (* 1/6 z) 1/2))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)) y)
(* y (- (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2))) 1/2))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))) y)
(* y (- (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2))) 1/2))
(*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))) y)
(* y (* z (- (* 1/6 z) 1/2)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)) z) y)
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(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)) z)) y)
(* y (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (- (* 1/6 z) 1/2))))
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(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(-.f64 x (+.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) x) (+.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)))
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(* 1/6 (* (pow z 2) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z z)) (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
(* (pow z 2) (+ (* -1/2 (/ (+ y (pow y 2)) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 y y y) z) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1/2 (/ (+ y (pow y 2)) z)) (+ (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (/ y (pow z 2)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 y y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64) (/.f64 y (*.f64 z z)))) (*.f64 z z))
(* 1/2 (/ (pow z 2) t))
(*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64))
(* (pow z 2) (+ (* 1/2 (/ 1 t)) (/ 1 (* t z))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 z z))
(* (pow z 2) (+ 1/6 (* -1/2 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1/6 (+ (* -1/2 y) (+ (* -1/2 (/ y z)) (* 1/2 (/ 1 z))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z)) #s(literal 1/6 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1/6 (+ (* -1/2 y) (+ (* -1/2 (/ y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z))) #s(literal 1/6 binary64)) (*.f64 z z))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) z) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) z)) (+ (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (/ y (pow z 2)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64) (/.f64 y (*.f64 z z)))) (*.f64 z z))
(* y (* (pow z 2) (+ 1/6 (* -1/2 y))))
(*.f64 (*.f64 (*.f64 z z) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))
(* (pow z 2) (+ (* y (+ 1/6 (* -1/2 y))) (/ (* y (+ 1/2 (* -1/2 y))) z)))
(*.f64 (*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z)) #s(literal 1/6 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* y (+ 1/6 (* -1/2 y))) (+ (/ y (pow z 2)) (/ (* y (+ 1/2 (* -1/2 y))) z))))
(*.f64 (fma.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z)) #s(literal 1/6 binary64)) (/.f64 y (*.f64 z z))) (*.f64 z z))
(* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) z) #s(literal 1/6 binary64))
(* z (+ (* -1/2 (/ (+ y (pow y 2)) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 y y y) z) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64))) z)
(* -1 (* (pow z 3) (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (- (pow y 2) y) z)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) z) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal -1/6 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y z)) z)) (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal -1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64) (/.f64 y z)) (neg.f64 z)))) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* 1/2 (+ y (pow y 2)))) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (fma.f64 y y y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 z))) (*.f64 z z))
(* (pow z 2) (+ 1/6 (+ (* -1 (/ (- (* 1/2 y) 1/2) z)) (* -1/2 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) (*.f64 z z))
(* (pow z 2) (+ 1/6 (+ (* -1 (/ (- (* 1/2 y) (+ 1/2 (/ 1 z))) z)) (* -1/2 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* 1/2 (- (pow y 2) y))) z)) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 z))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) z)) (* y (+ 1/6 (* -1/2 y)))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* y (- (* 1/2 y) 1/2))) z)) (* y (+ 1/6 (* -1/2 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 y) z)) (neg.f64 z))) (*.f64 z z))
(* -1 (* z (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (+ y (pow y 2)) z)))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 y y y) z) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal -1/6 binary64))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/.f64 (fma.f64 t x (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))) t)
(/ (* z (+ 1 (* 1/2 z))) t)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)

rewrite216.0ms (1.4%)

Memory
-1.1MiB live, 236.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094873
0138851
1608846
24762836
08397778
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 316
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x)
(neg.f64 x)
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z))
(*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
#s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z))
#s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y))
(*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x))) (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) x) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (*.f64 (neg.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x))) (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) x) #s(literal 2 binary64))))
(fma.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x) x)
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) x)
(fma.f64 x (neg.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x))) x)
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x)) (neg.f64 x)) x)))
(-.f64 x (*.f64 (neg.f64 #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) x))) (neg.f64 x)))
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(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)))
(fma.f64 y (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal 1/6 binary64) z)) (-.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y) (*.f64 #s(literal 1/6 binary64) z)) (neg.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)))))
(fma.f64 y (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal 1/6 binary64) z)) (-.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64))))
(fma.f64 y (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal 1/6 binary64) z)) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) (neg.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z))
(-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))) (*.f64 #s(literal 1/6 binary64) z)))
(-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) z)) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))))
(-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) z)))
(-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))))
(+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (fma.f64 (fma.f64 y y y) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal -3 binary64)) (*.f64 y y))) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y) (*.f64 #s(literal 1/6 binary64) z)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal -3 binary64)) (*.f64 y y)) (-.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y) (*.f64 #s(literal 1/6 binary64) z)) (neg.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal -3 binary64)) (*.f64 y y)) (-.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal -3 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 (neg.f64 (neg.f64 (fma.f64 y y y))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)
(*.f64 z (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) z) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 3 binary64))) z) (fma.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) z (*.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) z))
(fma.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) z))
(fma.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 z (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))))
(fma.f64 z (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) z) (*.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) z))
(+.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z)) z))
(+.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))) (*.f64 z (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))))
(+.f64 (*.f64 z (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 #s(literal 1/6 binary64) z))))

eval101.0ms (0.7%)

Memory
-1.5MiB live, 186.5MiB allocated
Compiler

Compiled 29 555 to 3 472 computations (88.3% saved)

prune32.0ms (0.2%)

Memory
-5.8MiB live, 87.3MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New5037510
Fresh21012
Picked325
Done077
Total50826534
Accuracy
100.0%
Counts
534 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓83.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
✓73.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
24.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
71.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
82.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 z)) y)) t))
27.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)) z)) t))
56.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
64.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
✓84.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
53.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) #s(approx (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))))) z)) t))
✓75.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
✓82.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
62.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)))
✓86.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
33.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) (sqrt.f64 y)) (sqrt.f64 y))))
68.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)) y)))
✓76.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
58.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64)))) y)))
69.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) x))
✓78.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
66.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x))
74.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
39.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y)) x)) x))
✓84.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
81.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (*.f64 (/.f64 (/.f64 (expm1.f64 z) t) x) y)) x))
14.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
Compiler

Compiled 2 291 to 951 computations (58.5% saved)

regimes97.0ms (0.6%)

Memory
21.6MiB live, 123.1MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) #s(approx (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))))) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (*.f64 (/.f64 (/.f64 (expm1.f64 z) t) x) y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y)) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) y)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 z)) y)) t))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
Calls

9 calls:

16.0ms
z
15.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
10.0ms
y
10.0ms
t
10.0ms
x
Results
AccuracySegmentsBranch
93.1%2(exp.f64 z)
96.9%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
96.9%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
95.7%4(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
95.8%4(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
91.8%3x
95.3%3y
95.1%3z
86.2%1t
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes33.0ms (0.2%)

Memory
-24.5MiB live, 19.2MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) #s(approx (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))))) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (*.f64 (/.f64 (/.f64 (expm1.f64 z) t) x) y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y)) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
Calls

2 calls:

24.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
96.3%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
96.3%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes60.0ms (0.4%)

Memory
-1.1MiB live, 45.2MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) #s(approx (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))))) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (*.f64 (/.f64 (/.f64 (expm1.f64 z) t) x) y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y)) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) z)) z)) t))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
Calls

7 calls:

18.0ms
(exp.f64 z)
7.0ms
z
7.0ms
y
7.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
6.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Results
AccuracySegmentsBranch
89.1%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
89.1%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
86.2%1(exp.f64 z)
88.0%2z
89.2%2y
92.1%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
92.1%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes25.0ms (0.2%)

Memory
28.3MiB live, 28.3MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) #s(approx (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))))) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (*.f64 (/.f64 (/.f64 (expm1.f64 z) t) x) y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x)) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
Calls

4 calls:

7.0ms
y
7.0ms
x
5.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
5.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
89.2%2y
86.2%1x
89.8%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
89.8%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes109.0ms (0.7%)

Memory
-27.2MiB live, 25.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) #s(approx (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))))) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
Calls

6 calls:

85.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
5.0ms
z
5.0ms
y
4.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
4.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
86.2%1z
86.2%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
86.2%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
86.2%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
86.2%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
86.2%1y
Compiler

Compiled 43 to 50 computations (-16.3% saved)

regimes57.0ms (0.4%)

Memory
19.0MiB live, 63.4MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) #s(approx (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))))) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Calls

9 calls:

21.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
5.0ms
z
5.0ms
x
5.0ms
t
5.0ms
y
Results
AccuracySegmentsBranch
81.8%2(exp.f64 z)
80.7%3x
81.8%2z
80.7%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
76.1%1y
76.1%1t
78.3%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
78.3%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
76.1%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes64.0ms (0.4%)

Memory
-9.8MiB live, 78.4MiB allocated
Accuracy

Total -33.3b remaining (-217.9%)

Threshold costs -33.3b (-217.9%)

Counts
17 → 1
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1/2 binary64)))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z) z)) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) #s(approx (* (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) y) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64))))) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 #s(approx (+ (* (* (- (* -1/2 z) 1/2) z) y) (+ (* (+ (* 1/6 z) 1/2) z) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y)) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) z) y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y))) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* (+ (* (* -3 y) y) (+ (* 2 (pow y 3)) y)) 1/6) z) (* -1/2 (+ (* y y) y))) (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) z)) z)) t))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Calls

8 calls:

26.0ms
(exp.f64 z)
12.0ms
t
5.0ms
z
5.0ms
x
4.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Results
AccuracySegmentsBranch
76.1%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
76.1%1t
76.1%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
76.1%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
76.1%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
76.1%1x
76.1%1(exp.f64 z)
76.1%1z
Compiler

Compiled 46 to 59 computations (-28.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.832178853061619e-11
0.011473646826254359
0.0ms
-inf
-5.624466291261242e-7
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.832178853061619e-11
0.011473646826254359
0.0ms
-inf
-5.624466291261242e-7
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.832178853061619e-11
0.011473646826254359
0.0ms
-inf
-5.624466291261242e-7
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch264.0ms (1.8%)

Memory
21.0MiB live, 121.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
259.0ms
2.6245203834849776e+84
1.2255269633883161e+95
Samples
155.0ms21×1invalid
54.0ms150×1valid
40.0ms81×0invalid
1.0ms10×0valid
Compiler

Compiled 396 to 349 computations (11.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 239.0ms
ival-exp: 172.0ms (71.8% of total)
ival-log: 50.0ms (20.9% of total)
ival-sub: 4.0ms (1.7% of total)
adjust: 4.0ms (1.7% of total)
ival-div: 3.0ms (1.3% of total)
ival-mult: 3.0ms (1.3% of total)
ival-add: 2.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch57.0ms (0.4%)

Memory
-39.0MiB live, 112.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
54.0ms
-1.1943375267226192e-16
-4.7225514492054736e-20
Samples
17.0ms55×1valid
7.0ms73×0valid
2.0ms24×0invalid
Compiler

Compiled 344 to 291 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 9.0ms (44.6% of total)
ival-exp: 3.0ms (14.9% of total)
ival-sub: 2.0ms (9.9% of total)
ival-div: 2.0ms (9.9% of total)
ival-add: 1.0ms (5% of total)
adjust: 1.0ms (5% of total)
ival-mult: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify62.0ms (0.4%)

Memory
4.2MiB live, 49.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081443
1115443
2186443
3342443
4748443
53926443
67428443
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal 122000000000000006913119480225967436871409575765767305984376187617974147724947271645625313132544 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(if (<=.f64 z #s(literal -1166238552209971/10141204801825835211973625643008 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Outputs
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal 122000000000000006913119480225967436871409575765767305984376187617974147724947271645625313132544 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(if (<=.f64 z #s(literal -1166238552209971/10141204801825835211973625643008 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))

soundness613.0ms (4.1%)

Memory
30.0MiB live, 484.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05242373
117742215
268682169
091701882
03351597
110791468
240581425
091541220
07023609
124723334
089552912
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 559 to 232 computations (58.5% saved)

preprocess87.0ms (0.6%)

Memory
-12.4MiB live, 179.8MiB allocated
Compiler

Compiled 994 to 238 computations (76.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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